Non linear systems of the type of the stationary Navier-Stokes system.
M. Giaquinta, G. Modica (1982)
Journal für die reine und angewandte Mathematik
Similarity:
M. Giaquinta, G. Modica (1982)
Journal für die reine und angewandte Mathematik
Similarity:
V. Solonnikov (1983)
Banach Center Publications
Similarity:
Mahdi Boukrouche, Grzegorz Łukaszewicz (2008)
Banach Center Publications
Similarity:
We consider a two-dimensional Navier-Stokes shear flow with time dependent boundary driving and subject to Tresca law. We establish the existence of a unique global in time solution and then, using a recent method based on the concept of the Kuratowski measure of noncompactness of a bounded set, we prove the existence of the pullback attractor for the associated cocycle. This research is motivated by a problem from lubrication theory.
Charles-Henri Bruneau (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
Non reflecting boundary conditions on artificial frontiers of the domain are proposed for both incompressible and compressible Navier-Stokes equations. For incompressible flows, the boundary conditions lead to a well-posed problem, convey properly the vortices without any reflections on the artificial limits and allow to compute turbulent flows at high Reynolds numbers. For compressible flows, the boundary conditions convey properly the vortices without any reflections on the artificial...
Ewa Zadrzyńska
Similarity:
The results concerning free boundary problems for both incompressible and compressible Navier-Stokes equations are reviewed in this paper.
Jürgen Socolowsky (2008)
Banach Center Publications
Similarity:
Viscous two-fluid flows arise in different kinds of coating technologies. Frequently, the corresponding mathematical models represent two-dimensional free boundary value problems for the Navier-Stokes equations or their modifications. In this review article we present some results about nonisothermal stationary as well as about isothermal evolutionary viscous flow problems. The temperature-depending problems are characterized by coupled heat- and mass transfer and also by thermocapillary...
Burda, Pavel, Novotný, Jaroslav, Šístek, Jakub
Similarity:
We present analytical solution of the Stokes problem in rotationally symmetric domains. This is then used to find the asymptotic behaviour of the solution in the vicinity of corners, also for Navier-Stokes equations. We apply this to construct very precise numerical finite element solution.
Bastl, Bohumír, Brandner, Marek, Egermaier, Jiří, Michálková, Kristýna, Turnerová, Eva
Similarity:
The article is devoted to the simulation of viscous incompressible fluid flow based on solving the Navier-Stokes equations. As a numerical model we chose isogeometrical approach. Primary goal of using isogemetric analysis is to be always geometrically exact, independently of the discretization, and to avoid a time-consuming generation of meshes of computational domains. For higher Reynolds numbers, we use stabilization techniques SUPG and PSPG. All methods mentioned in the paper are...
Sváček, Petr, Horáček, Jaromír
Similarity:
In this paper the numerical approximation of aeroelastic response to sudden gust is presented. The fully coupled formulation of two dimensional incompressible viscous fluid flow over a flexibly supported structure is used. The flow is modelled with the system of Navier-Stokes equations written in Arbitrary Lagrangian-Eulerian form and coupled with system of ordinary differential equations describing the airfoil vibrations with two degrees of freedom. The Navier-Stokes equations are spatially...